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Laplace Transform
★★★★☆Undergraduate
📖Definition
Transforms time-domain functions to frequency domain, converting differential equations to algebraic equations.
📐Formulas
f(t) = F(s) = ∈t₀^∈fty f(t) e^-st dt
Laplace transform definition
f'(t) = sF(s) - f(0)
Transform of derivative
e^at = (1)/(s-a)
Exponential transform
✏️Examples
예제 1★★★★☆
Solve y' + 2y = 0, y(0) = 3 using Laplace transform.
⚡Applications
Control Engineering
Transfer function analysis
Electronics
Circuit analysis
Mechanical Engineering
Vibration analysis
🔗Related Documents
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